Numerical Modelling of the Acoustic Pressure Inside an Axisymmetric Lined Flow Duct

Taktak, Mohamed; Majdoub, Mohamed Ali; Bentahar, Mabrouk; Haddar, Mohamed

doi:10.2478/v10168-012-0021-8

Cited by 11 publications

(7 citation statements)

References 24 publications

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“…The same classical numerical discretization in Ref. [4], the elementary integrals of the numerical variational formulation Eq. (32) over the reference triangular or interval elementsT take the following form…”

Section: Axisymmetric Finite Element Methodsmentioning

confidence: 99%

“…A numerical technique of the FEM for the modeling of the acoustic pressure inside an axisymmetric lined duct in the presence of a constant flow was developed and presented in Ref. [4]. This method is based on the resolution of the convected Helmholtz equation in the modal representation which gives good results compared with the analytical ones.…”

Section: Introductionmentioning

confidence: 99%

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An improved axisymmetric convected boundary element method formulation with uniform flow

Barhoumi¹

2017

Mechanics & Industry

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This paper presents an improved form of the convected Boundary Element Method (BEM) for axisymmetric problems in a subsonic uniform flow. The proposed formulation based on the axisymmetric Convected Helmholtz Equation (CHE) and its fundamental solution that describes the sound radiation from a monopole source. The variables in the new axisymmetric boundary integral formulation can be expressed explicitly in terms of the acoustic pressure and its particular normal derivative. Also, the constant coefficients are expressed only in terms of the axisymmetric convected Green's function and its convected normal derivative. The particular and convected derivatives reduce the flow effects of the normal and the flow direction derivatives incorporated in the conventional convected boundary integral formulas. The advanced form of the axisymmetric boundary integral representation with flow is a similar form of the axisymmetric boundary element method without flow. Precisely, the two new operators significantly reduce the computational burden of the classical BEM and then becomes the CPU time of BEM without flow. The formula is verified comparing to both analytical and Finite Element Methods (FEM) of an axisymmetric infinite rigid duct in a subsonic uniform flow.

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Section: Axisymmetric Finite Element Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An improved axisymmetric convected boundary element method formulation with uniform flow

Barhoumi¹

2017

Mechanics & Industry

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“…The acoustic propagation in cylindrical wave-guides is a common field in structures like automotive and aircraft engines. The Helmholtz equation is normally used to model the propagation of acoustic waves (Cheung and Jin, 1991;Nark et al, 2003Nark et al, , 2005Taktak et al, 2012). For a large set of problems, there is no analytical closed solution to this equation.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of uncertainty in acoustic propagation via generalized polynomial chaos

Dammak

Koubaa

Hami

et al. 2019

Journal of Theoretical and Applied Mechanics

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This work aims at increasing the performance prediction for acoustic propagation systems that will operate in the presence of the inevitable parameters uncertainty. In the present contribution, the finite element method is applied to solve an acoustic problem described by the Helmholz equation when the geometric and material properties present uncertainty. The influence of the uncertainty of physical parameters on the pressure field is discussed. The results using the polynomial chaos expansion method are compared with Monte Carlo simulations. It is show that uncertainty levels in the input data could result in large variability in the calculated pressure field in the domain.

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“…These systems are considered as wave-guides in which sound propagates as presented in (Taktak et al, 2012). To assure the acoustic comfort in these systems, the sound must be reduced to meet the regulations.…”

Section: Introductionmentioning

confidence: 99%

Technical Note. Effect of Liner Characteristics on the Acoustic Performance of Duct Systems

Othmani¹,

Hentati²,

Taktak

et al. 2015

Archives of Acoustics

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Porous materials are used in many vibro-acoustic applications. Different models describe their performance according to material's intrinsic characteristics. In this paper, an evaluation of the effect of the porous and geometrical parameters of a liner on the acoustic power attenuation of an axisymmetric lined duct was performed using multimodal scattering matrix. The studied liner is composed by a porous material covered by a perforated plate. Empirical and phenomenal models are used to calculate the acoustic impedance of the studied liner. The later is used as an input to evaluate the duct attenuation. By varying the values of each parameter, its influence is observed, discussed and deduced.

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Numerical Modelling of the Acoustic Pressure Inside an Axisymmetric Lined Flow Duct

Cited by 11 publications

References 24 publications

An improved axisymmetric convected boundary element method formulation with uniform flow

An improved axisymmetric convected boundary element method formulation with uniform flow

Numerical modeling of uncertainty in acoustic propagation via generalized polynomial chaos

Technical Note. Effect of Liner Characteristics on the Acoustic Performance of Duct Systems

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